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Finding the Fourth Proportional to 381,846.30, 572,769.45 and 222,195.30

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Solution

The fourth proportional to 381,846.30, 572,769.45 and 222,195.30 is: 333,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,846.30 : 572,769.45 = 222,195.30 : x
  2. Step 2: Convert to fraction form
    381,846.30/572,769.45 = 222,195.30/x
  3. Step 3: Cross multiply
    381,846.30x = 572,769.45 × 222,195.30
  4. Step 4: Simplify right side
    381,846.30x = 127,266,679,773.59
  5. Step 5: Solve for x
    x = 127,266,679,773.59/381,846.30
  6. Step 6: Final answer
    x = 333,292.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.